基于附加参数的跨海高程传递研究
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摘要
本文研究了一种基于附加参数的GPS水准测量和重力大地水准拟合测量方法,实现跨越海域的长距离高程基准传递。该方法结合EGM2008地球重力模型和GPS椭球高,确定陆地与岛屿之间的高程基准差异,拟合函数为多项式曲面。在常规方程中采用不同正则化参数的迭代算法,求解病态矩阵,并估计附加参数的精度。通过两桥之间的实际数据验证了该方法的可行性,并获得高程基准参数和似大地水准面模型,实现了长距离高程基准的传递。将计算值与已知值进行比较,结果表明,高差值的不一致性较小。不管有多少差异,都可以精确计算,计算高程的精度可以满足工程要求。因此,该方法可以应用于实际工程中。
In this paper, a method of GPS level measurement and gravity geoid fitting measurement based on additional parameters is studied to realize long-distance elevation datum transfer across the sea area. This method combines EGM2008 earth gravity model and GPS ellipsoid height to determine the difference of elevation datum between land and island. The fitting function is polynomial surface. An iterative algorithm with different regularized parameters is used to solve the morbid matrix and estimate the precision of additional parameters. The feasibility of the method is verified by the actual data between the two bridges, and the elevation reference parameters and the geoid level surface model are obtained, and the transmission of the long-distance elevation reference is realized. Comparing the calculated value with the known value, the results show that the high difference value is less inconsistent. No matter how different, they can be calculated accurately.The precision of calculating elevation can meet the engineering requirements. Therefore, this method can be applied to practical engineering.
In this paper, a method of GPS level measurement and gravity geoid fitting measurement based on additional parameters is studied to realize long-distance elevation datum transfer across the sea area. This method combines EGM2008 earth gravity model and GPS ellipsoid height to determine the difference of elevation datum between land and island. The fitting function is polynomial surface. An iterative algorithm with different regularized parameters is used to solve the morbid matrix and estimate the precision of additional parameters. The feasibility of the method is verified by the actual data between the two bridges, and the elevation reference parameters and the geoid level surface model are obtained, and the transmission of the long-distance elevation reference is realized. Comparing the calculated value with the known value, the results show that the high difference value is less inconsistent. No matter how different, they can be calculated accurately.The precision of calculating elevation can meet the engineering requirements. Therefore, this method can be applied to practical engineering.
引文
[1]王强,崔希民,张恒璟,等.多项式拟合模型在GPS水准测量中的应用[J].测绘工程,2014,23(8):19-22.
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[3]张兴福,刘成.综合EGM2008模型和SRTM/DTM2006.0剩余地形模型的GPS高程转换方法[J].测绘学报,2012,41(1):25-32.
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[7]陈俊勇.高精度局域大地水准面对布测GPS水准和重力的要求[J].测绘学报,2001(3):189-191.
[8]张兴福,张永毅.利用GNSS水准实现跨河高程传递的方法及精度分析[J].导航定位学报,2015(3):135-138.
[9]黄纪晨.结合地形改正的神经网络算法在GNSS跨河高程传递中的应用[J].测绘与空间地理信息,2018,41(3):137-141.
[10]杨培兵,赖金富,吴有清.港珠澳大桥工程宽海域高精度高程传递方法探讨[J].人民长江,2015,46(14):65-69.
[11]张其伟.GPS水准在长距离跨河高程传递中的应用[J].现代装饰,2012(8):107.
[12]隆安良.TBC、CosaGPS、Excel相结合在GPS平差中的应用[J].铁道建筑技术,2015(1):112-114.
[2]郭春喜,聂建亮,王斌,等.利用自适应最小二乘配置的GPS水准与重力似大地水准面的拟合[J].武汉大学学报(信息科学版),2013,38(1):44-47.
[3]张兴福,刘成.综合EGM2008模型和SRTM/DTM2006.0剩余地形模型的GPS高程转换方法[J].测绘学报,2012,41(1):25-32.
[4]钟波,罗志才.GPS水准综合模型的应用研究[J].测绘通报,2007(6):5-7.
[5]侯本军,钟波,王文庆.基于二次曲面的Shepard拟合法在GPS水准中的应用[J].测绘工程,2007(1):36-38.
[6]魏子卿,王刚.用地球位模型和GPS/水准数据确定我国大陆似大地水准面[J].测绘学报,2003(1):1-5.
[7]陈俊勇.高精度局域大地水准面对布测GPS水准和重力的要求[J].测绘学报,2001(3):189-191.
[8]张兴福,张永毅.利用GNSS水准实现跨河高程传递的方法及精度分析[J].导航定位学报,2015(3):135-138.
[9]黄纪晨.结合地形改正的神经网络算法在GNSS跨河高程传递中的应用[J].测绘与空间地理信息,2018,41(3):137-141.
[10]杨培兵,赖金富,吴有清.港珠澳大桥工程宽海域高精度高程传递方法探讨[J].人民长江,2015,46(14):65-69.
[11]张其伟.GPS水准在长距离跨河高程传递中的应用[J].现代装饰,2012(8):107.
[12]隆安良.TBC、CosaGPS、Excel相结合在GPS平差中的应用[J].铁道建筑技术,2015(1):112-114.